Pith Number

pith:TZL53YAZ

pith:2002:TZL53YAZ2CNNG2HT54TLRA7SHY

not attested not anchored not stored refs pending

Graded parafermions: standard and quasi-particle bases

P. Jacob, P. Mathieu

arxiv:hep-th/0201156 v2 · 2002-01-20 · hep-th · math.QA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TZL53YAZ2CNNG2HT54TLRA7SHY}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T01:05:59.693884Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e57dde019d09ad368f3ef26b883f23e072452f7c83cb0e57aed994c4e0b6f5d

Aliases

arxiv: hep-th/0201156 · arxiv_version: hep-th/0201156v2 · doi: 10.48550/arxiv.hep-th/0201156 · pith_short_12: TZL53YAZ2CNN · pith_short_16: TZL53YAZ2CNNG2HT · pith_short_8: TZL53YAZ

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/TZL53YAZ2CNNG2HT54TLRA7SHY \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 9e57dde019d09ad368f3ef26b883f23e072452f7c83cb0e57aed994c4e0b6f5d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "856b5405aaa6aef307fd97b428e1fb9fa4f13dd4b2a21b775f4519e790e8dced",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2002-01-20T18:51:37Z",
    "title_canon_sha256": "b5e11ec95c33995894b9893e2a8e4bb2cd79485d5dc6489051f51acb6c516d39"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0201156",
    "kind": "arxiv",
    "version": 2
  }
}